13330323112032 has 240 divisors, whose sum is σ = 40563354530160. Its totient is φ = 4289438426112.

The previous prime is 13330323111991. The next prime is 13330323112069. The reversal of 13330323112032 is 23021132303331.

13330323112032 is a `hidden beast` number, since 1 + 3 + 3 + 303 + 231 + 120 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13330323111987 and 13330323112005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 528192918 + ... + 528218154.

It is an arithmetic number, because the mean of its divisors is an integer number (169013977209).

Almost surely, 2^{13330323112032} is an apocalyptic number.

13330323112032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13330323112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20281677265080).

13330323112032 is an abundant number, since it is smaller than the sum of its proper divisors (27233031418128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13330323112032 is a wasteful number, since it uses less digits than its factorization.

13330323112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32315 (or 32298 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13330323112032 its reverse (23021132303331), we get a palindrome (36351455415363).

The spelling of 13330323112032 in words is "thirteen trillion, three hundred thirty billion, three hundred twenty-three million, one hundred twelve thousand, thirty-two".